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113360416 = 2513379719
BaseRepresentation
bin1101100000110…
…11111000100000
321220022022020221
412300123320200
5213010013131
615125412424
72544355561
oct660337040
9256268227
10113360416
1158a973a4
1231b6a114
131a640a90
14110ac168
159e43411
hex6c1be20

113360416 has 48 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 52109568.

The previous prime is 113360413. The next prime is 113360453. The reversal of 113360416 is 614063311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113360411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157305 + ... + 158023.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2113360416 is an apocalyptic number.

113360416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

113360416 is an abundant number, since it is smaller than the sum of its proper divisors (127954784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113360416 is a wasteful number, since it uses less digits than its factorization.

113360416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 113360416 is about 10647.0848592467. The cubic root of 113360416 is about 483.9722680648.

The spelling of 113360416 in words is "one hundred thirteen million, three hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 379 416 719 758 1438 1516 2876 3032 4927 5752 6064 9347 9854 11504 12128 18694 19708 23008 37388 39416 74776 78832 149552 157664 272501 299104 545002 1090004 2180008 3542513 4360016 7085026 8720032 14170052 28340104 56680208 113360416